8303 ÷ 3 = 2767 R2
We're going to perform division on 8303 with 3 as the divisor.

Step 1:
3 goes into 8 2 times with a remainder of 2.
Write down 2 as next digit of of the result. 
Result so far: 2
Subtract 6 from 8 to get 2.
Bring next digit (3) of the dividend behind the 2 and repeat the process: 23 / 3

Step 2:
3 goes into 23 7 times with a remainder of 2.
Write down 7 as next digit of of the result. 
Result so far: 27
Subtract 21 from 23 to get 2.
Bring next digit (0) of the dividend behind the 2 and repeat the process: 20 / 3

Step 3:
3 goes into 20 6 times with a remainder of 2.
Write down 6 as next digit of of the result. 
Result so far: 276
Subtract 18 from 20 to get 2.
Bring next digit (3) of the dividend behind the 2 and repeat the process: 23 / 3

Step 4:
3 goes into 23 7 times with a remainder of 2.
Write down 7 as next digit of of the result. 
Result so far: 2767
Subtract 21 from 23 to get 2.

The final result is 2767 with a remainder of 2.